where \(g^{\prime }\)  is the gauge coupling of \(U(1)_{B-3L_\mu }\) . The LEP bound requires \(M_{Z^{\prime }}/g^{\prime }\gtrsim 7\)  TeV [1]}. In unitary gauge, the neutral component of \(Z_2\)  even scalars are parameterized as
\(\Phi ^0=\frac{v+\phi }{\sqrt{2}},~S=\frac{v_S+S^0}{\sqrt{2}}.\) 
